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AP EAPCET 06-Jul-2022 Shift 2 Paper
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© examsnet.com
Question : 11
Total: 160
The sum of squares of roots of the equation
x
2
3
+
x
1
3
−
2
=
0
is
82
65
50
37
Validate
Solution:
👈: Video Solution
Given, equation is
x
2
/
3
+
x
1
/
3
−
2
=
0
⇒
x
2
∕
3
+
x
1
/
3
=
2
⇒
(
x
2
∕
3
+
x
1
/
3
)
3
=
2
3
⇒
(
x
2
+
x
+
3
x
(
x
2
∕
3
+
x
1
/
3
)
)
=
8
[
∴
(
a
+
b
)
3.
=
a
3
+
b
3
+
3
a
b
(
a
+
b
)
]
⇒
x
2
+
x
+
3
x
×
2
=
8
⇒
x
2
+
7
x
−
8
=
0
⇒
(
x
+
8
)
(
x
−
1
)
=
0
⇒
x
=
1
,
−
8
Sum of square roots
=
(
1
)
2
+
(
−
8
)
2
=
1
+
64
=
65
© examsnet.com
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